To solve this problem, we need to calculate the moment (torque) of the force $F = 900 \, \text{N}$ about point $A$. The moment of a force about a point is given by the formula:

$M = F \times d$

where:

• $F$ is the force applied (900 N in this case).
• $d$ is the perpendicular distance from point $A$ to the line of action of the force.

Step-by-Step Analysis

1. Identify Points A, B, and Force Line:

   • Point $A$ is at $(1, 1)$ on the grid.
   • Point $B$ is at $(8, 5)$ on the grid.
   • The force vector $F$ appears to act from a point on the line between two grid points towards point $B$.

2. Determine the Perpendicular Distance: The perpendicular distance $d$ from point $A$ to the line of action of force $F$ is the shortest distance from point $A$ to the line extending between the force points. We can find this using the formula for the distance from a point to a line in 2D:

   The line passes through points $(7, 5)$ and $(8, 5)$ giving a slope, calculate using:

   $d = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}$

   After finding $d$ plug in the values to compute:

Finally choose the option the closest to your result.